Extremely Charged Static Dust Distributions in General Relativity
Abstract
Description
Conformo static charged dust distributions are investigated in the framework of General Relativity. Einstein's equations reduce to a nonlinear version of Poisson's equations and Maxwell's eqations imply the equaltiy of the charge and mass densities. An interior solution to the extreme Reissner-Nordstrom metric is given. Dust distributions concentrated on regular surfaces are discussed and a complete solution is given for a spherical thin shell.
8 pages, Latex, to appear in the proceedings of the International Seminar on Mathematical Cosmology, Potsdam-Germany, March 30- April 4, 1998, Eds. H.-J. Schmidt and M. Rainer, World Scientific, Singapore; some references are corrected
8 pages, Latex, to appear in the proceedings of the International Seminar on Mathematical Cosmology, Potsdam-Germany, March 30- April 4, 1998, Eds. H.-J. Schmidt and M. Rainer, World Scientific, Singapore; some references are corrected